Question

If a is a skew symmetric matrix and n is a odd positive integer then an is

Answer 1

Answer:

an also a skew symmetric matrix.

Step-by-step explanation:

A Skew symmetric matrix has all its diagonal elements as Zero and satisfies the following rule.

Transpose of Matrix = Negative of Matrix.

Example of a Skew symmetric matrix is

A = $\left[\begin{array}{ccc}0&2&-3\\-2&0&6\\3&-6&0\end{array}\right]$  

If you see above example, Transpose of A = -A.

When you multiple any Matrix with Odd positive integer, each element gets multiplied by that number.

The skew symmetric Matrix still retain its property.